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Finding the Fourth Proportional to 540,084.84, 809,366.64 and 413,233.98

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Solution

The fourth proportional to 540,084.84, 809,366.64 and 413,233.98 is: 619,269.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,084.84 : 809,366.64 = 413,233.98 : x
  2. Step 2: Convert to fraction form
    540,084.84/809,366.64 = 413,233.98/x
  3. Step 3: Cross multiply
    540,084.84x = 809,366.64 × 413,233.98
  4. Step 4: Simplify right side
    540,084.84x = 334,457,797,926.43
  5. Step 5: Solve for x
    x = 334,457,797,926.43/540,084.84
  6. Step 6: Final answer
    x = 619,269.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.